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Nina [5.8K]
3 years ago
10

This is my last attempt for this question. Rationalize the denominator of the following expression.

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

\frac{\\\sqrt[3]{98}}{7}

Step-by-step explanation:

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Find the area of shaded region
Anastaziya [24]

Answer: 107 units.

Step-by-step explanation: To find the area of the first box, you multiply the side lengths, which in this case are 5 by 7 to get 35. Then you find the area of the second box by multiplying 8 * 10 which is 80 so the total area of everything is 115 units. Then you subtract the non - shaded region which is 2 * 4 units. So after subtracting 115 - 8, you get your final answer of 107 units.

4 0
3 years ago
Read 2 more answers
The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:
weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

S_{\infty}=\frac{a}{1-r}

Where

\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\  \\ a\text{ is the first term = 1} \\  \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}

So, this becomes

\begin{gathered} S_{\infty}=\frac{a}{1-r} \\  \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\  \\ S_{\infty}=3 \end{gathered}

Therefore, option b is the correct answer

5 0
1 year ago
Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the​ one-way AN
Mrrafil [7]

Answer:

No it is not satisfied

Step-by-step explanation:

The one-way ANOVA is used to measure whether the difference between the means of two independent groups are statistically significant.

For it to be satisfied, there has to be one independent variable which is categorical and one dependent variable. The dependent variable on its own has to be a continuous variable

The assumptions are:

1. Equal variance between population

2. Independence between observations

3. The random samples have to be gotten from a normal population.

4 0
3 years ago
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter. How long is the re
vekshin1

Answer:

\frac{7}{10}

Step-by-step explanation:

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter

Lets add all the cut of pieces and subtract it from 2 meters

\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}

Now we subtract 13/10 from 2 meters

2 - \frac{13}{10}

To subtract , make the denominator same

\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}

7/10 meter is the remaining piece of ribbon

8 0
4 years ago
For a-b, reduce to the least non-negative residue
Olenka [21]

Answer:

  a.  6

  b.  9

Step-by-step explanation:

a. The product modulo 7 can be found from the product of the individual numbers modulo 7:

  (88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7

  = (4·4·1·3) mod 7 = 48 mod 7 = 6

__

b. Powers of 4 mod 11 repeat with period 5:

  4 mod 11 = 4

  4^2 mod 11 = 5

  4^3 mod 11 = 9

  4^4 mod 11 = 3

  4^5 mod 11 = 1

So, 4^83 mod 11 = 4^3 mod 11 = 9

3 0
3 years ago
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